Abstract : In this paper, it is considered a three-hop one-way AF cooperative communication system, using a Khatri-Rao Space-Time (KRST) coding at the source. It is shown that the third-order tensor of signals received at the destination node satisfies a PARATUCK-3 tensor model. This tensorial modeling enables a joint semi-blind estimation of the transmitted symbols, the relay-destination channel and a global channel that contains the gains of the other channels. Two non-iterative estimation algorithms based on the Kronecker product are then proposed. The performance of these receivers is evaluated by means of computational simulation results.